Stokhos::PseudoSpectralOrthogPolyExpansion< ordinal_type, value_type, point_compare_type, node_type > Class Template Reference

Orthogonal polynomial expansions based on numerical quadrature. More...

#include <Stokhos_PseudoSpectralOrthogPolyExpansion.hpp>

Inheritance diagram for Stokhos::PseudoSpectralOrthogPolyExpansion< ordinal_type, value_type, point_compare_type, node_type >:

Collaboration diagram for Stokhos::PseudoSpectralOrthogPolyExpansion< ordinal_type, value_type, point_compare_type, node_type >:

Classes
struct	acos_quad_func
struct	acosh_quad_func
struct	asin_quad_func
struct	asinh_quad_func
struct	atan2_quad_func
struct	atan_quad_func
struct	atanh_quad_func
struct	cbrt_quad_func
struct	cos_quad_func
struct	cosh_quad_func
struct	div_quad_func
struct	exp_quad_func
struct	log10_quad_func
struct	log_quad_func
struct	pow_quad_func
struct	sin_quad_func
struct	sinh_quad_func
struct	sqrt_quad_func
struct	tan_quad_func
struct	tanh_quad_func
struct	times_quad_func

Public Member Functions
	PseudoSpectralOrthogPolyExpansion (const Teuchos::RCP< const OrthogPolyBasis< ordinal_type, value_type > > &basis, const Teuchos::RCP< const Stokhos::Sparse3Tensor< ordinal_type, value_type > > &Cijk, const Teuchos::RCP< const PseudoSpectralOperator< ordinal_type, value_type, point_compare_type > > &ps_op, const Teuchos::RCP< Teuchos::ParameterList > &params=Teuchos::null)
	Constructor.
virtual	~PseudoSpectralOrthogPolyExpansion ()
	Destructor.
void	timesEqual (OrthogPolyApprox< ordinal_type, value_type, node_type > &c, const value_type &x)
void	divideEqual (OrthogPolyApprox< ordinal_type, value_type, node_type > &c, const value_type &x)
void	timesEqual (OrthogPolyApprox< ordinal_type, value_type, node_type > &c, const OrthogPolyApprox< ordinal_type, value_type, node_type > &x)
void	divideEqual (OrthogPolyApprox< ordinal_type, value_type, node_type > &c, const OrthogPolyApprox< ordinal_type, value_type, node_type > &x)
void	times (OrthogPolyApprox< ordinal_type, value_type, node_type > &c, const OrthogPolyApprox< ordinal_type, value_type, node_type > &a, const OrthogPolyApprox< ordinal_type, value_type, node_type > &b)
void	times (OrthogPolyApprox< ordinal_type, value_type, node_type > &c, const value_type &a, const OrthogPolyApprox< ordinal_type, value_type, node_type > &b)
void	times (OrthogPolyApprox< ordinal_type, value_type, node_type > &c, const OrthogPolyApprox< ordinal_type, value_type, node_type > &a, const value_type &b)
void	divide (OrthogPolyApprox< ordinal_type, value_type, node_type > &c, const OrthogPolyApprox< ordinal_type, value_type, node_type > &a, const OrthogPolyApprox< ordinal_type, value_type, node_type > &b)
void	divide (OrthogPolyApprox< ordinal_type, value_type, node_type > &c, const value_type &a, const OrthogPolyApprox< ordinal_type, value_type, node_type > &b)
void	divide (OrthogPolyApprox< ordinal_type, value_type, node_type > &c, const OrthogPolyApprox< ordinal_type, value_type, node_type > &a, const value_type &b)
void	exp (OrthogPolyApprox< ordinal_type, value_type, node_type > &c, const OrthogPolyApprox< ordinal_type, value_type, node_type > &a)
void	log (OrthogPolyApprox< ordinal_type, value_type, node_type > &c, const OrthogPolyApprox< ordinal_type, value_type, node_type > &a)
void	log10 (OrthogPolyApprox< ordinal_type, value_type, node_type > &c, const OrthogPolyApprox< ordinal_type, value_type, node_type > &a)
void	sqrt (OrthogPolyApprox< ordinal_type, value_type, node_type > &c, const OrthogPolyApprox< ordinal_type, value_type, node_type > &a)
void	cbrt (OrthogPolyApprox< ordinal_type, value_type, node_type > &c, const OrthogPolyApprox< ordinal_type, value_type, node_type > &a)
void	pow (OrthogPolyApprox< ordinal_type, value_type, node_type > &c, const OrthogPolyApprox< ordinal_type, value_type, node_type > &a, const OrthogPolyApprox< ordinal_type, value_type, node_type > &b)
void	pow (OrthogPolyApprox< ordinal_type, value_type, node_type > &c, const value_type &a, const OrthogPolyApprox< ordinal_type, value_type, node_type > &b)
void	pow (OrthogPolyApprox< ordinal_type, value_type, node_type > &c, const OrthogPolyApprox< ordinal_type, value_type, node_type > &a, const value_type &b)
void	cos (OrthogPolyApprox< ordinal_type, value_type, node_type > &c, const OrthogPolyApprox< ordinal_type, value_type, node_type > &a)
void	sin (OrthogPolyApprox< ordinal_type, value_type, node_type > &c, const OrthogPolyApprox< ordinal_type, value_type, node_type > &a)
void	tan (OrthogPolyApprox< ordinal_type, value_type, node_type > &c, const OrthogPolyApprox< ordinal_type, value_type, node_type > &a)
void	cosh (OrthogPolyApprox< ordinal_type, value_type, node_type > &c, const OrthogPolyApprox< ordinal_type, value_type, node_type > &a)
void	sinh (OrthogPolyApprox< ordinal_type, value_type, node_type > &c, const OrthogPolyApprox< ordinal_type, value_type, node_type > &a)
void	tanh (OrthogPolyApprox< ordinal_type, value_type, node_type > &c, const OrthogPolyApprox< ordinal_type, value_type, node_type > &a)
void	acos (OrthogPolyApprox< ordinal_type, value_type, node_type > &c, const OrthogPolyApprox< ordinal_type, value_type, node_type > &a)
void	asin (OrthogPolyApprox< ordinal_type, value_type, node_type > &c, const OrthogPolyApprox< ordinal_type, value_type, node_type > &a)
void	atan (OrthogPolyApprox< ordinal_type, value_type, node_type > &c, const OrthogPolyApprox< ordinal_type, value_type, node_type > &a)
void	atan2 (OrthogPolyApprox< ordinal_type, value_type, node_type > &c, const OrthogPolyApprox< ordinal_type, value_type, node_type > &a, const OrthogPolyApprox< ordinal_type, value_type, node_type > &b)
void	atan2 (OrthogPolyApprox< ordinal_type, value_type, node_type > &c, const value_type &a, const OrthogPolyApprox< ordinal_type, value_type, node_type > &b)
void	atan2 (OrthogPolyApprox< ordinal_type, value_type, node_type > &c, const OrthogPolyApprox< ordinal_type, value_type, node_type > &a, const value_type &b)
void	acosh (OrthogPolyApprox< ordinal_type, value_type, node_type > &c, const OrthogPolyApprox< ordinal_type, value_type, node_type > &a)
void	asinh (OrthogPolyApprox< ordinal_type, value_type, node_type > &c, const OrthogPolyApprox< ordinal_type, value_type, node_type > &a)
void	atanh (OrthogPolyApprox< ordinal_type, value_type, node_type > &c, const OrthogPolyApprox< ordinal_type, value_type, node_type > &a)
template<typename FuncT >
void	nary_op (const FuncT &func, OrthogPolyApprox< ordinal_type, value_type, node_type > &c, const OrthogPolyApprox< ordinal_type, value_type, node_type > **a)
template<typename ExprT1 , typename ExprT2 >
value_type	compute_times_coeff (ordinal_type k, const ExprT1 &a, const ExprT2 &b) const
template<typename ExprT1 , typename ExprT2 >
value_type	fast_compute_times_coeff (ordinal_type k, const ExprT1 &a, const ExprT2 &b) const
template<typename FuncT >
void	unary_op (const FuncT &func, OrthogPolyApprox< ordinal_type, value_type, node_type > &c, const OrthogPolyApprox< ordinal_type, value_type, node_type > &a)
	Nonlinear unary function.
template<typename FuncT >
void	binary_op (const FuncT &func, OrthogPolyApprox< ordinal_type, value_type, node_type > &c, const OrthogPolyApprox< ordinal_type, value_type, node_type > &a, const OrthogPolyApprox< ordinal_type, value_type, node_type > &b)
	Nonlinear binary function.
template<typename FuncT >
void	binary_op (const FuncT &func, OrthogPolyApprox< ordinal_type, value_type, node_type > &c, const value_type &a, const OrthogPolyApprox< ordinal_type, value_type, node_type > &b)
	Nonlinear binary function.
template<typename FuncT >
void	binary_op (const FuncT &func, OrthogPolyApprox< ordinal_type, value_type, node_type > &c, const OrthogPolyApprox< ordinal_type, value_type, node_type > &a, const value_type &b)
	Nonlinear binary function.
Public Member Functions inherited from Stokhos::OrthogPolyExpansionBase< ordinal_type, value_type, node_type >
	OrthogPolyExpansionBase (const Teuchos::RCP< const OrthogPolyBasis< ordinal_type, value_type > > &basis, const Teuchos::RCP< const Stokhos::Sparse3Tensor< ordinal_type, value_type > > &Cijk, const Teuchos::RCP< Teuchos::ParameterList > &params=Teuchos::null)
	Constructor.
virtual	~OrthogPolyExpansionBase ()
	Destructor.
ordinal_type	size () const
	Get expansion size.
Teuchos::RCP< const OrthogPolyBasis< ordinal_type, value_type > >	getBasis () const
	Get basis.
virtual Teuchos::RCP< const Sparse3Tensor< ordinal_type, value_type > >	getTripleProduct () const
	Get triple product.
void	unaryMinus (OrthogPolyApprox< ordinal_type, value_type, node_type > &c, const OrthogPolyApprox< ordinal_type, value_type, node_type > &a)
void	plusEqual (OrthogPolyApprox< ordinal_type, value_type, node_type > &c, const value_type &x)
void	minusEqual (OrthogPolyApprox< ordinal_type, value_type, node_type > &c, const value_type &x)
void	plusEqual (OrthogPolyApprox< ordinal_type, value_type, node_type > &c, const OrthogPolyApprox< ordinal_type, value_type, node_type > &x)
void	minusEqual (OrthogPolyApprox< ordinal_type, value_type, node_type > &c, const OrthogPolyApprox< ordinal_type, value_type, node_type > &x)
void	plus (OrthogPolyApprox< ordinal_type, value_type, node_type > &c, const OrthogPolyApprox< ordinal_type, value_type, node_type > &a, const OrthogPolyApprox< ordinal_type, value_type, node_type > &b)
void	plus (OrthogPolyApprox< ordinal_type, value_type, node_type > &c, const value_type &a, const OrthogPolyApprox< ordinal_type, value_type, node_type > &b)
void	plus (OrthogPolyApprox< ordinal_type, value_type, node_type > &c, const OrthogPolyApprox< ordinal_type, value_type, node_type > &a, const value_type &b)
void	minus (OrthogPolyApprox< ordinal_type, value_type, node_type > &c, const OrthogPolyApprox< ordinal_type, value_type, node_type > &a, const OrthogPolyApprox< ordinal_type, value_type, node_type > &b)
void	minus (OrthogPolyApprox< ordinal_type, value_type, node_type > &c, const value_type &a, const OrthogPolyApprox< ordinal_type, value_type, node_type > &b)
void	minus (OrthogPolyApprox< ordinal_type, value_type, node_type > &c, const OrthogPolyApprox< ordinal_type, value_type, node_type > &a, const value_type &b)
void	abs (OrthogPolyApprox< ordinal_type, value_type, node_type > &c, const OrthogPolyApprox< ordinal_type, value_type, node_type > &a)
void	fabs (OrthogPolyApprox< ordinal_type, value_type, node_type > &c, const OrthogPolyApprox< ordinal_type, value_type, node_type > &a)
void	max (OrthogPolyApprox< ordinal_type, value_type, node_type > &c, const OrthogPolyApprox< ordinal_type, value_type, node_type > &a, const OrthogPolyApprox< ordinal_type, value_type, node_type > &b)
void	max (OrthogPolyApprox< ordinal_type, value_type, node_type > &c, const value_type &a, const OrthogPolyApprox< ordinal_type, value_type, node_type > &b)
void	max (OrthogPolyApprox< ordinal_type, value_type, node_type > &c, const OrthogPolyApprox< ordinal_type, value_type, node_type > &a, const value_type &b)
void	min (OrthogPolyApprox< ordinal_type, value_type, node_type > &c, const OrthogPolyApprox< ordinal_type, value_type, node_type > &a, const OrthogPolyApprox< ordinal_type, value_type, node_type > &b)
void	min (OrthogPolyApprox< ordinal_type, value_type, node_type > &c, const value_type &a, const OrthogPolyApprox< ordinal_type, value_type, node_type > &b)
void	min (OrthogPolyApprox< ordinal_type, value_type, node_type > &c, const OrthogPolyApprox< ordinal_type, value_type, node_type > &a, const value_type &b)
Public Member Functions inherited from Stokhos::OrthogPolyExpansion< ordinal_type, value_type, node_type >
	OrthogPolyExpansion ()
	Constructor.
virtual	~OrthogPolyExpansion ()
	Destructor.

Protected Types
typedef OrthogPolyExpansionBase < ordinal_type, value_type, node_type >::Cijk_type	Cijk_type
	Short-hand for Cijk.
typedef Teuchos::SerialDenseVector < ordinal_type, value_type >	SDV
	Short-hand for SerialDenseVector.
Protected Types inherited from Stokhos::OrthogPolyExpansionBase< ordinal_type, value_type, node_type >
typedef Stokhos::Sparse3Tensor < ordinal_type, value_type >	Cijk_type
	Short-hand for Cijk.

Protected Attributes
Teuchos::RCP< const PseudoSpectralOperator < ordinal_type, value_type, point_compare_type > >	ps_op
	Pseudospectral operator.
bool	use_quad_for_times
	Use quadrature for times functions.
bool	use_quad_for_division
	Use quadrature for division functions.
ordinal_type	sz
	Expansions size.
ordinal_type	nqp
	Number of Quad points.
SDV	avals
	Temporary array for values of first argument at quad points.
SDV	bvals
	Temporary array for values of second argument at quad points.
Teuchos::Array< Teuchos::Array < SDV > >	navals
	Temporary array for values of n-ary arguments at quad points.
SDV	fvals
	Temporary array for values of operation at quad points.
Protected Attributes inherited from Stokhos::OrthogPolyExpansionBase< ordinal_type, value_type, node_type >
Teuchos::RCP< const OrthogPolyBasis< ordinal_type, value_type > >	basis
	Basis.
Teuchos::RCP< const Stokhos::Sparse3Tensor < ordinal_type, value_type > >	Cijk
	Triple-product tensor.
Teuchos::RCP < Teuchos::ParameterList >	params
	Parameter list.
Teuchos::RCP < Stokhos::DivisionExpansionStrategy < ordinal_type, value_type, node_type > >	division_strategy
	Division expansion strategy.
ordinal_type	sz
	Expansions size.

Additional Inherited Members
Public Types inherited from Stokhos::OrthogPolyExpansion< ordinal_type, value_type, node_type >
typedef Sparse3Tensor < ordinal_type, value_type >	tp_type
	Typename of TripleProduct tensor.

Detailed Description

template<typename ordinal_type, typename value_type, typename point_compare_type = typename DefaultPointCompare<ordinal_type,value_type>::type, typename node_type = Stokhos::StandardStorage<ordinal_type, value_type>>
class Stokhos::PseudoSpectralOrthogPolyExpansion< ordinal_type, value_type, point_compare_type, node_type >

Orthogonal polynomial expansions based on numerical quadrature.

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The documentation for this class was generated from the following files:

• Stokhos_PseudoSpectralOrthogPolyExpansion.hpp
• Stokhos_PseudoSpectralOrthogPolyExpansionImp.hpp